Step-by-step explanation:
volume of a cylinder is
ground area × height = pi×r²×h
r = 4
what we need to calculate is how high the water stands with one "serving" of 2m³.
that height is then added every minute (with the additional 2m³ during that minute).
so,
2 = pi×4²×h = pi×16×h
2/16 = 1/8 = pi×h
h = (1/8) / pi = 1/(8pi) = 0.039788736... m
that is rounded about 0.04 m or 4 cm.
therefore, the water rises by 0.04 m or 4 cm per minute
0.04m/min
66.666666 repeated decimal
You would keep the 66 as is, and divide 2 by 3. That equals 0.66666666666 repeated, so the answer would be 66.666666 (rounded: 66.67)
Answer:
When multiplying fractions, multiply the top number by the top number, and the bottom number by the bottom number.
So we have: (9x2)/(10x5).
This simplifies to: 18/50, or 9/25.
Let me know if this helps!
Answer:
nnrm
Step-by-step explanation:
Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
e) The correlation coefficient, r, is 0.397.
Step-by-step explanation:
Given that:
Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158
Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.
Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397
